The following question is accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Find the speed of Rahul Statement: 1) Ravi who can cover a certain distance in 6 hours travelling with the speed 15 kmph more than Rahul who also travelled the same distance. Statement: 2) If the time(t) taken by Rahul is 480% of his speed. Statement: 3) If the Distance Travelled is 120 kms.?

Question

The following question is accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Find the speed of Rahul Statement: 1) Ravi who can cover a certain distance in 6 hours travelling with the speed 15 kmph more than Rahul who also travelled the same distance. Statement: 2) If the time(t) taken by Rahul is 480% of his speed. Statement: 3) If the Distance Travelled is 120 kms.?

Statement 2 and Statement 3 together is sufficient
Statement 1 and Statement 3 together is sufficient
Any two statement is sufficient
All three statements are required
Statement 1 and either of statement 2 or 3

LohaHridoy

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 3 : Any two statement is sufficient

According to the question.

Statement: 1)

Let the speed of Rahul = S kmph

Speed of Ravi = (S + 15) kmph

Time taken by Ravi = 6 hours.

Time taken by Rahul = T hours.

Distance is same.

S = D / T ----(1)

S + 15 = D / 6 ----(2)

From eq(1) and eq(2)

We can conclude that we have two equations and three variables So the answer cannot be determined.

Statement: 2)

Speed : Time = 5x : 24x

Statement: 3)

Distance travelled = 120 kms.

On combining statement 1 & statement 3.

S = D / T ----(1)

S + 15 = D / 6 ----(2)

Putting D = 120 km

S = 5 kmph

Speed of Rahul = 5 kmph

On combining statement 1 & statement 2.

S = D / T ----(1)

S + 15 = D / 6 ----(2)

Speed : Time = 5x : 24x ----(3)

On solving above three equations we get,

x = +1, -0.75

So, Speed of Rahul = 5x = 5 kmph.

Any two statements are sufficient.

Option C, is correct.